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2805232014 = 234132791297
BaseRepresentation
bin1010011100110100…
…0111000110001110
321020111112112220000
42213031013012032
521221114411024
61142205505130
7126342035664
oct24715070616
97214475800
102805232014
11120a531372
126635721a6
1335923c800
141c87c6c34
1511641ecc9
hexa734718e

2805232014 has 120 divisors (see below), whose sum is σ = 6897987360. Its totient is φ = 851565312.

The previous prime is 2805232009. The next prime is 2805232063. The reversal of 2805232014 is 4102325082.

2805232014 is a `hidden beast` number, since 280 + 52 + 320 + 14 = 666.

2805232014 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2162214 + ... + 2163510.

It is an arithmetic number, because the mean of its divisors is an integer number (57483228).

Almost surely, 22805232014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2805232014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3448993680).

2805232014 is an abundant number, since it is smaller than the sum of its proper divisors (4092755346).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2805232014 is a wasteful number, since it uses less digits than its factorization.

2805232014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1416 (or 1394 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2805232014 is about 52964.4410335840. The cubic root of 2805232014 is about 1410.3370945954.

Adding to 2805232014 its reverse (4102325082), we get a palindrome (6907557096).

The spelling of 2805232014 in words is "two billion, eight hundred five million, two hundred thirty-two thousand, fourteen".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 79 81 117 158 162 169 234 237 338 351 474 507 702 711 1014 1027 1053 1297 1422 1521 2054 2106 2133 2594 3042 3081 3891 4266 4563 6162 6399 7782 9126 9243 11673 12798 13351 13689 16861 18486 23346 26702 27378 27729 33722 35019 40053 50583 55458 70038 80106 83187 101166 102463 105057 120159 151749 166374 204926 210114 219193 240318 303498 307389 360477 438386 455247 614778 657579 720954 910494 922167 1081431 1315158 1332019 1365741 1844334 1972737 2162862 2664038 2731482 2766501 3945474 3996057 5533002 5918211 7992114 8299503 11836422 11988171 16599006 17316247 17754633 23976342 34632494 35509266 35964513 51948741 71929026 103897482 107893539 155846223 215787078 311692446 467538669 935077338 1402616007 2805232014